Respuesta :

Answer:

E. Graph E

Step-by-step explanation:

1: Find critical points of inequality.

  • One critical point is 0; we have to solve for the other.
  • [tex]\sqrt{x} = 2[/tex]

Step 1: Square both sides.

  • [tex]x = 2^2[/tex]
  • [tex]x = 4[/tex]

Step 2: Check if solution is correct.

  • [tex]\sqrt{4} = 2[/tex]
  • [tex]2 = 2[/tex]

2. Check the intervals between critical points.

  • x ≤ 0: doesn't work  
  • 0 ≤ x ≤ 4: does work
  • x ≥ 4: doesn't work

3. Now that we know the interval is 0 ≤ x ≤ 4, we look for the graph that matches this inequality.

  • Note: This inequality means that the values include 0, 4, and the values in between them
  • Given the information above, the correct answer is E because it includes 0, 4, and the numbers between.

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